Prandtl numbers
Convection-driven kinematic dynamos at low Rossby and magnetic Prandtl numbers
... profiles shown in Figure 3, we find that the mean magnetic field structure does not change significantly as the Rayleigh and Prandtl numbers are varied; the case shown is therefore representative of all the ...
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Transient Natural Convection Flow on an Isothermal Vertical Wall at High Prandtl Numbers: Second-Order Approximation
... T h e c l o s e d - f o r m s o l u t i o n s f o r t h e one-dimensional portion of the transient may be evaluated for any Prandtl number, but they are valid only for short times. Gebhart [5] presented solutions ...
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Convection-driven kinematic dynamos at low Rossby and magnetic Prandtl numbers: Single mode solutions
... magnetic Prandtl number dynamo model recently developed by the authors of [27], and is the first investigation of dynamo action in the limit of asymptotically small Rossby and magnetic Prandtl ...magnetic ...
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Nonaxisymmetric MHD Instabilities of Chandrasekhar States in Taylor-Couette Geometry
... We next return to the question whether the spectra are modi fi ed by the number of linearly unstable modes or not. As demonstrated in Section 3.2, for the rigidly rotating pinch only m = 1 becomes unstable. Figure 11 ...
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Data assimilation for plume models
... with Prandtl numbers up to 70 in this ...with Prandtl numbers up to 20 000 (Hier Majumder et ...nite Prandtl plumes even at these Rayleigh ...infinite Prandtl number ...higher ...
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Theoretical Analysis of the Turbulent Prandtl Number by the Integral Transform Technique
... The results show that the modified model in the region y+<5 for Prt =1.07, associated to the procedures recommended, for calculation of fully developed flow velocity profile, and the modification of the turbulent ...
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The Influence of Prandtl Number on Near-Wall Turbulent Heat Transfer
... the Prandtl number to ten, while Kawamura et al [4] studied the influence of Reynolds numbers (up to Re = 14000) and Prandtl numbers (up to Pr = ...the Prandtl number near the wall for ...
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On the boundary-layer structure of high-Prandtl-number horizontal convection
... beyond those of currently available numerical simulations. Despite this limitation, the asymptotic theory provides insight into the flow that adds to that gained from numerical simulations and with further investigation ...
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Series Solution of Non Similarity Boundary Layer Flow in Porous Medium
... of Prandtl numbers when the other physi- cal parameters are ...higher Prandtl number as a relatively low thereby reduces the thermal boundary-layer ...
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Effects of the rectangular groove dimensions on the thermal features of the turbulent Al2O3-water nanofluid flow in the grooved tubes
... and Prandtl numbers in turbulent flows, which show the increase of convective heat transfer coefficient with the particles volume fraction and the flow Reynolds ...
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Faith in the numbers
... The grotesque irony of the credit crisis is that products that claimed to be able to manage and dissipate risk to the benefit of all in the end became themselves the source of realized risk first for the financial system ...
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Bipartite Ramsey Numbers and Zarankiewicz Numbers
... ble, and his value was only off by one. This discrepancy is significant because at least one author (H´ eger) has reported the erroneous value as well as further values based on it without having checked Guy’s tables ...
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Zarankiewicz Numbers and Bipartite Ramsey Numbers
... Goddard, Henning and Oellermann in 2000. In particular, we compute the smallest previously unknown bipartite Ramsey number, b(2, 5) = 17. Moreover, we prove that up to isomorphism there exists a unique 2-coloring which ...
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Circulation conservation and vortex breakup in magnetohydrodynamics at low magnetic Prandtl number
... In this paper we examine the role of weak magnetic fields in breaking Kelvin’s circula- tion theorem and in vortex breakup in two-dimensional magnetohydrodynamics for the physically important case of a low magnetic ...
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Construction of the Transcomplex Numbers From the Complex Numbers
... The first thing to say is that every transcomplex number is exact. It is described by exactly one point in the transcomplex plane which is composed of the complex plane, the circle at infinity and the point at nullity. ...
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A theoretical investigation of particle trajectories through a Prandtl Meyer expansion fan
... It was found that the temperature dependence of viscosity need not be precisely known to ensure satisfactory results, but changes in the specific heat ratio, y... REFERENCES Gilbert, M.,[r] ...
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Effect Of Prandtl Number On Heat Transfer In Flow Past A Heated Cylinder
... The flow past a cylinder and the associated dynamics presents a classical problem in engineering with a myriad of applications. Flow over circular cylinders have been ex-tensively studied in the past with [1 – 4] ...
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A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations
... Abstract. A finite element method to solve the bidimensional Reduced Navier-Stokes Prandtl (RNS/P) equations is described. These equations are an asymptotical simplification of the full Navier-Stokes equa- tions, ...
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Circulation conservation and vortex breakup in magnetohydrodynamics at low magnetic Prandtl number
... We employ the ‘Combined Lagrangian Advection Method’ (‘CLAM’, see Dritschel & Fontane 2010) used in a previous work investigating 2D MHD turbulence at low Prandtl number (Dritschel & Tobias 2012). The ...
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Solving laminar boundary layer flow along a stretching cylinder by shooting technique
... with Prandtl number, Pr, since the higher Prandtl number fluid is a fluid that has a lower thermal conductivity or a higher viscosity which results in thinner thermal boundary layer and hence, higher heat ...
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